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Finding the Fourth Proportional to 523,622.40, 784,915.20 and 257,164.80

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Solution

The fourth proportional to 523,622.40, 784,915.20 and 257,164.80 is: 385,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,622.40 : 784,915.20 = 257,164.80 : x
  2. Step 2: Convert to fraction form
    523,622.40/784,915.20 = 257,164.80/x
  3. Step 3: Cross multiply
    523,622.40x = 784,915.20 × 257,164.80
  4. Step 4: Simplify right side
    523,622.40x = 201,852,560,424.96
  5. Step 5: Solve for x
    x = 201,852,560,424.96/523,622.40
  6. Step 6: Final answer
    x = 385,492.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.